Publication Abstracts

Zahn et al. 1974

Zahn, J.-P., J. Toomre, E.A. Spiegel, and D.O. Gough, 1974: Nonlinear cellular motions in Poiseuille channel flow. J. Fluid Mech., 64, 319-346, doi:10.1017/S0022112074002424.

We expand the equations describing plane Poiseuille flow in Fourier series in the co-ordinates in the plane parallel to the bounding walls. There results an infinite system of equations for the amplitudes, which are functions of time and of the cross-stream co-ordinate. This system is drastically truncated and the resulting set of equations is solved accurately by a finite difference method. Three truncations are considered: (I) a single mode with dependence only on the downstream co-ordinate and time, (II) the mode of (I) plus its first harmonic, (III) a single three-dimensional mode. For all three cases, for a variety of initial conditions, the solutions evolve to a steady state as seen in a particular moving frame of reference. No runaways are encountered.

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BibTeX Citation

  author={Zahn, J.-P. and Toomre, J. and Spiegel, E. A. and Gough, D. O.},
  title={Nonlinear cellular motions in Poiseuille channel flow},
  journal={J. Fluid Mech.},

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RIS Citation

ID  - za04000r
AU  - Zahn, J.-P.
AU  - Toomre, J.
AU  - Spiegel, E. A.
AU  - Gough, D. O.
PY  - 1974
TI  - Nonlinear cellular motions in Poiseuille channel flow
JA  - J. Fluid Mech.
VL  - 64
SP  - 319
EP  - 346
DO  - 10.1017/S0022112074002424
ER  -

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